國立虎尾科技大學 |

Tensors for Physics

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Tensors for Physics/ by Siegfried Hess.
作者:	Hess, Siegfried.
面頁冊數:	XVII, 440 p. 55 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Physics. -
電子資源:	https://doi.org/10.1007/978-3-319-12787-3
ISBN:	9783319127873

Tensors for Physics
Hess, Siegfried.

Tensors for Physics[electronic resource] /by Siegfried Hess. - 1st ed. 2015. - XVII, 440 p. 55 illus.online resource. - Undergraduate Lecture Notes in Physics,2192-4791. - Undergraduate Lecture Notes in Physics,.

Introduction -- Basics -- Symmetry of Second Rank Tensors, Cross Product -- Epsilon-Tensor -- Symmetric Second Rank Tensors -- Summary: Decomposition of Second Rank Tensors -- Fields, Spatial Differential Operators -- Integration of Fields -- Irreducible Tensors -- Multiple Potentials -- Isotropic Tensors -- Integral Formulae -- Spin Operators -- Rotation of Tensors -- Liquid Crystals -- Constitutive Relations -- Tensor Dynamics -- Maxwell Equations, from 3D to 4D -- Exercises: Answers and Solutions.

This book presents the science of tensors in a didactic way. The various types and ranks of tensors and the physical basis is presented. Cartesian Tensors are needed for the description of directional phenomena in many branches of physics and for the characterization the anisotropy of material properties. The first sections of the book provide an introduction to the vector and tensor algebra and analysis, with applications to physics, at undergraduate level. Second rank tensors, in particular their symmetries, are discussed in detail. Differentiation and integration of fields, including generalizations of the Stokes law and the Gauss theorem, are treated. The physics relevant for the applications in mechanics, quantum mechanics, electrodynamics and hydrodynamics is presented. The second part of the book is devoted to tensors of any rank, at graduate level. Special topics are irreducible, i.e. symmetric traceless tensors, isotropic tensors, multipole potential tensors, spin tensors, integration and spin-trace formulas, coupling of irreducible tensors, rotation of tensors. Constitutive laws for optical, elastic and viscous properties of anisotropic media are dealt with. The anisotropic media include crystals, liquid crystals and isotropic fluids, rendered anisotropic by external orienting fields. The dynamics of tensors deals with phenomena of current research. In the last section, the 3D Maxwell equations are reformulated in their 4D version, in accord with special relativity.

ISBN: 9783319127873

Standard No.: 10.1007/978-3-319-12787-3doiSubjects--Topical Terms:

564049
Physics.

LC Class. No.: QC5.53

Dewey Class. No.: 530.15

Tensors for Physics
LDR:03334nam a22003975i 4500 001 960247
003 DE-He213
005 20200704040804.0
007 cr nn 008mamaa
008 201211s2015 gw | s |||| 0|eng d
020 $a 9783319127873 $9 978-3-319-12787-3
024 7 $a 10.1007/978-3-319-12787-3 $2 doi
035 $a 978-3-319-12787-3
050 4 $a QC5.53
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
072 7 $a PHU $2 thema
082 0 4 $a 530.15 $2 23
100 1 $a Hess, Siegfried. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1254053
245 1 0 $a Tensors for Physics $h [electronic resource] / $c by Siegfried Hess.
250 $a 1st ed. 2015.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a XVII, 440 p. 55 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Undergraduate Lecture Notes in Physics, $x 2192-4791
505 0 $a Introduction -- Basics -- Symmetry of Second Rank Tensors, Cross Product -- Epsilon-Tensor -- Symmetric Second Rank Tensors -- Summary: Decomposition of Second Rank Tensors -- Fields, Spatial Differential Operators -- Integration of Fields -- Irreducible Tensors -- Multiple Potentials -- Isotropic Tensors -- Integral Formulae -- Spin Operators -- Rotation of Tensors -- Liquid Crystals -- Constitutive Relations -- Tensor Dynamics -- Maxwell Equations, from 3D to 4D -- Exercises: Answers and Solutions.
520 $a This book presents the science of tensors in a didactic way. The various types and ranks of tensors and the physical basis is presented. Cartesian Tensors are needed for the description of directional phenomena in many branches of physics and for the characterization the anisotropy of material properties. The first sections of the book provide an introduction to the vector and tensor algebra and analysis, with applications to physics, at undergraduate level. Second rank tensors, in particular their symmetries, are discussed in detail. Differentiation and integration of fields, including generalizations of the Stokes law and the Gauss theorem, are treated. The physics relevant for the applications in mechanics, quantum mechanics, electrodynamics and hydrodynamics is presented. The second part of the book is devoted to tensors of any rank, at graduate level. Special topics are irreducible, i.e. symmetric traceless tensors, isotropic tensors, multipole potential tensors, spin tensors, integration and spin-trace formulas, coupling of irreducible tensors, rotation of tensors. Constitutive laws for optical, elastic and viscous properties of anisotropic media are dealt with. The anisotropic media include crystals, liquid crystals and isotropic fluids, rendered anisotropic by external orienting fields. The dynamics of tensors deals with phenomena of current research. In the last section, the 3D Maxwell equations are reformulated in their 4D version, in accord with special relativity.
650 0 $a Physics. $3 564049
650 0 $a Mathematical physics. $3 527831
650 0 $a Amorphous substances. $3 769064
650 0 $a Complex fluids. $3 1064118
650 0 $a Physical chemistry. $3 1148725
650 0 $a Applied mathematics. $3 1069907
650 0 $a Engineering mathematics. $3 562757
650 1 4 $a Mathematical Methods in Physics. $3 670749
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 786649
650 2 4 $a Soft and Granular Matter, Complex Fluids and Microfluidics. $3 768664
650 2 4 $a Physical Chemistry. $3 668972
650 2 4 $a Mathematical and Computational Engineering. $3 1139415
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319127880
776 0 8 $i Printed edition: $z 9783319127866
830 0 $a Undergraduate Lecture Notes in Physics, $x 2192-4791 $3 1253454
856 4 0 $u https://doi.org/10.1007/978-3-319-12787-3
912 $a ZDB-2-PHA
912 $a ZDB-2-SXP
950 $a Physics and Astronomy (SpringerNature-11651)
950 $a Physics and Astronomy (R0) (SpringerNature-43715)